Conjugacy Separability of Descending HNN-Extensions of Finitely Generated Abelian Groups
โ Scribed by E. V. Sokolov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2005
- Tongue
- English
- Weight
- 209 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0001-4346
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We first prove the double coset separability of certain HNN extensions with cyclic associated subgroups. Using this we prove a criterion for the conjugacy separability of HNN extensions of conjugacy separable groups with cyclic associated subgroups. Applying this result we show that certain HNN exte
In the present paper we give a complete characterisation of subgroup separability of HNN-extensions with finitely generated abelian base group. We are also able to characterise subgroup separability for some families of free-by-cyclic groups and thus answer partially a question of Scott (1987, "Comb